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A041421 Denominators of continued fraction convergents to sqrt(226). 2

%I

%S 1,30,901,27060,812701,24408090,733055401,22016070120,661215159001,

%T 19858470840150,596415340363501,17912318681745180,537965975792718901,

%U 16156891592463312210,485244713749692085201,14573498304083225868240

%N Denominators of continued fraction convergents to sqrt(226).

%H Vincenzo Librandi, <a href="/A041421/b041421.txt">Table of n, a(n) for n = 0..200</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (30,1).

%F a(n) = F(n, 30), the n-th Fibonacci polynomial evaluated at x=30. - _T. D. Noe_, Jan 19 2006

%F a(n) = 30*a(n-1)+a(n-2) for n>1; a(0)=1, a(1)=30. G.f.: 1/(1-30*x-x^2). [_Philippe Deléham_, Nov 22 2008]

%t a=0;lst={};s=0;Do[a=s-(a-1);AppendTo[lst,a];s+=a*30,{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Oct 27 2009 *)

%t Denominator[Convergents[Sqrt[226], 30]] (* _Vincenzo Librandi_, Dec 17 2013 *)

%Y Cf. A041420, A040210.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E Additional term from _Colin Barker_, Nov 17 2013

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Last modified November 16 22:05 EST 2019. Contains 329208 sequences. (Running on oeis4.)